Question

A plane can fly 1440 miles in the same time as it takes a car to go 400 miles. If the car travels 130 mph

slower than the plane, find the speed of the plane.
mph
PLEASE PLEASE HELP

Answer 1

The calculated speed of the plane is 180 mph.

How to determine the speed of the car

From the question, we have the following parameters that can be used in our computation:

DIstance = 1440 miles and 400 miles

Speed of car = 130 mph less

The speed is calculated as

Speed = Distance/Time

Represent the time with x

So, we have

1440/x = 400/(x - 130)

Solving for x, we get:

1440(x - 130) = 400x

Open the brackets

1440x - 187200 = 400x

So, we have

1040x = 187200

x = 180 mph

Hence, the speed of the plane is 180 mph.

Answer 2

The speed will be "144 mph".

Explanation:

Let the speed of the plane be "x mph".

then,

The car's speed be "x-130 mph".

According to the question,

⇒
`(1440)/(x) =(400)/(x-130)`

By applying cross-multiplication, we get

⇒
`1440(x-130)=400x`

⇒
`1440x-187200=400x`

⇒
`1440x-140x=187200`

⇒
`1300x=187200`

⇒
`x=(187200)/(1300)`

⇒
`=144 \ mph`